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9th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 9th Grade volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Volume & Capacity

9th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers

Show your work. Use the π button on your calculator and round to 1 decimal place.

1.A rectangular prism has a volume of 84 cm3. Its base is 7 cm by 4 cm. Find its height.

Answer: 3 cm

  1. Base area = 7 × 4 = 28 cm2
  2. Height = 84 ÷ 28 = 3 cm
2.A rectangular prism has a volume of 120 cm3. Its base is 12 cm by 5 cm. Find its height.

Answer: 2 cm

  1. Base area = 12 × 5 = 60 cm2
  2. Height = 120 ÷ 60 = 2 cm
3.A rectangular prism has a volume of 210 cm3. Its base is 7 cm by 6 cm. Find its height.

Answer: 5 cm

  1. Base area = 7 × 6 = 42 cm2
  2. Height = 210 ÷ 42 = 5 cm
4.A rectangular prism has a volume of 240 cm3. Its base is 4 cm by 10 cm. Find its height.

Answer: 6 cm

  1. Base area = 4 × 10 = 40 cm2
  2. Height = 240 ÷ 40 = 6 cm
5.A rectangular prism has a volume of 405 cm3. Its base is 5 cm by 9 cm. Find its height.

Answer: 9 cm

  1. Base area = 5 × 9 = 45 cm2
  2. Height = 405 ÷ 45 = 9 cm
6.A rectangular prism has a volume of 42 cm3. Its base is 3 cm by 7 cm. Find its height.

Answer: 2 cm

  1. Base area = 3 × 7 = 21 cm2
  2. Height = 42 ÷ 21 = 2 cm
7.A rectangular prism has a volume of 105 cm3. Its base is 3 cm by 5 cm. Find its height.

Answer: 7 cm

  1. Base area = 3 × 5 = 15 cm2
  2. Height = 105 ÷ 15 = 7 cm
8.A triangular prism has a triangular end with base 8 cm and height 8 cm. The prism is 6 cm long. Find its volume.

Answer: 192 cm3

  1. Area of the triangle = ½ × 8 × 8 = 32 cm2
  2. V = area of end × length = 32 × 6
  3. = 192 cm3
9.A rectangular prism has a volume of 864 cm3. Its base is 12 cm by 8 cm. Find its height.

Answer: 9 cm

  1. Base area = 12 × 8 = 96 cm2
  2. Height = 864 ÷ 96 = 9 cm
10.A rectangular prism has a volume of 96 cm3. Its base is 4 cm by 4 cm. Find its height.

Answer: 6 cm

  1. Base area = 4 × 4 = 16 cm2
  2. Height = 96 ÷ 16 = 6 cm
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